The number of 9 digit numbers, that can be fonned using all the digits of the number 123412341 so that the even digits occupy only even places, is

Question

The number of 9 digit numbers, that can be fonned using all the digits of the number 123412341 so that the even digits occupy only even places, is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Even digits occupy at even places (4 !/2 ! 2 !) × (5 !/2 ! 3 !)=(24 × 120/4 × 12)=60

Q. The number of 9 digit numbers, that can be fonned using all the digits of the number 123412341 so that the even digits occupy only even places, is

Even digits occupy at even places
$\frac{4 !}{2 ! 2 !} \times \frac{5 !}{2 ! 3 !} = \frac{24 \times 120}{4 \times 12} = 60$

Q. The number of 9 digit numbers, that can be fonned using all the digits of the number 123412341 so that the even digits occupy only even places, is

Even digits occupy at even places 2!2!4!​×2!3!5!​=4×1224×120​=60

Even digits occupy at even places
$\frac{4 !}{2 ! 2 !} \times \frac{5 !}{2 ! 3 !} = \frac{24 \times 120}{4 \times 12} = 60$